Simplify the expression.
(4x+3)(x-5)
4x^2 - 17x - 15
To simplify the expression (4x+3)(x-5), you can use the distributive property to multiply each term from the first set of parentheses by each term from the second set of parentheses. Let's break it down step by step.
Step 1: Multiply the first term from the first set of parentheses (4x) by the terms inside the second set of parentheses (x and -5):
4x * x = 4x^2
4x * -5 = -20x
Step 2: Multiply the second term from the first set of parentheses (3) by the terms inside the second set of parentheses (x and -5):
3 * x = 3x
3 * -5 = -15
Step 3: Combine like terms by adding all the results from the multiplication in Steps 1 and 2:
4x^2 - 20x + 3x - 15
Step 4: Simplify further by combining like terms:
4x^2 - 17x - 15
Therefore, the simplified expression is 4x^2 - 17x - 15.